What is the derivative of ln(4x-3) ?

The derivative of ln(4x-3) is 4/(4x-3)

What is the first derivative of ln(4x-3) ?

The first derivative of ln(4x-3) is 4/(4x-3)

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\frac{d}{d x} (ln (4 x - 3))

\frac{4}{4 x - 3}

Solution steps

\frac{d}{d x} (ln (4 x - 3))

Apply the chain rule:

\frac{1}{4 x - 3} \frac{d}{d x} (4 x - 3)

= \frac{1}{4 x - 3} \frac{d}{d x} (4 x - 3)

\frac{d}{d x} (4 x - 3) = 4

= \frac{1}{4 x - 3} \cdot 4

Simplify

\frac{1}{4 x - 3} \cdot 4 : \frac{4}{4 x - 3}

= \frac{4}{4 x - 3}

\int 7 e^{3} d x

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\int_{0}^{\frac{π}{2}} sin^{10} (x) d x

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x \to 0 + lim ((sin (x))^{2 x})

What is the derivative of ln(4x-3) ?
The derivative of ln(4x-3) is 4/(4x-3)
What is the first derivative of ln(4x-3) ?
The first derivative of ln(4x-3) is 4/(4x-3)